Advertisements
Advertisements
प्रश्न
Factorize `x^2 + 5sqrt5x + 30`
Advertisements
उत्तर
Splitting the middle term,
`= x^2 + 2sqrt5x + 3sqrt5x + 30` `[∵ 5sqrt5 = 2sqrt5 + 3sqrt5 " also " 2sqrt5 xx sqrt3 = 30]`
`= x(x + 2sqrt5) + 3sqrt5(x + 2sqrt5)`
`= (x + 2sqrt5)(x + 3sqrt5)`
`∴ x^2 + 5sqrt5x + 30 = (x + 2sqrt5)(x + 3sqrt5)`
APPEARS IN
संबंधित प्रश्न
Factorize the following expressions:
1029 – 3x3
Factorize the following expressions:
x4y4 - xy
Find the value of the following expression: 16x2 + 24x + 9, when \[x = \frac{7}{4}\]
Find the value of the following expression: 81x2 + 16y2 − 72xy, when \[x = \frac{2}{3}\] and \[y = \frac{3}{4}\]
Multiply: x2 + y2 + z2 − xy + xz + yz by x + y − z
If a2 + b2 + c2 = 20 and a + b + c = 0, find ab + bc + ca.
The factors of x3 − 7x + 6 are
The area of a rectangular field is 25x2 + 20xy + 3y2 square unit. If its length is 5x + 3y unit, find its breadth, Hence find its perimeter.
Give an algebraic equation for the following statement:
“The difference between the area and perimeter of a rectangle is 20”.
The total number of planets of Sun can be denoted by the variable n.
